Variance skill test

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Due DateJune 1, 2:59 AM EDT

Attempts3 every 8 hours

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Question 1

What’s the variance of random variable that takes values from -3 to 3 with probabilities set by PMF:

X	-3	-2	-1	0	1	2	3
P	1/14	1/7	1/7	2/7	2/7	0	1/14

Enter the irreducible fraction below (e.g., 13/28):

1 / 1 point

111/49

Correct

yes

Correct

$\mathbb E (X^2) - (\mathbb E X)^2$

$\mathbb E (X^2) - 2(\mathbb E X)^2$

$\mathbb E (X^2) + (\mathbb E X)^2$

Correct

\frac{35}{12}

35/12

Correct

$\mathop{\mathrm{Var}} Y = \mathop{\mathrm{Var}} X$

$\mathop{\mathrm{Var}} Y = 3\,\mathop{\mathrm{Var}} X$

$\mathop{\mathrm{Var}} Y = \mathop{\mathrm{Var}} X + 9$

Correct

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